You work for a marketing firm that has a large client in the automobile industry. You have been asked to estimate the proportion of households in Chicago that have two or more vehicles. You have been assigned to gather a random sample that could be used to estimate this proportion to within a 0.035 margin of error at a 98% level of confidence. a) With no prior research, what sample size should you gather in order to obtain a 0.035 margin of error? Round your answer up to the nearest whole number. households b) Your firm has decided that your plan is too expensive, and they wish to reduce the sample size required. You conduct a small preliminary sample, and you obtain a sample proportion of p = 0,2. Using this new information, what sample size should you gather in order to obtain a 0,035 margin of error? Round your answer up to the nearestE whole number. households-

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.7: Probability
Problem 58E: What is meant by the sample space of an experiment?
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You work for a marketing firm that has a large client in the automobile industry. You have been
asked to estimate the proportion of households in Chicago that have two or more vehicles. You
have been assigned to gather a random sample that could be used to estimate this proportion to
within a 0.035 margin of error ata 98% level of confidence.
a) With no prior research, what sample size should you gather in order to obtain a 0.035 margin of
error? Round your answer up to the nearest whole number.
households
b) Your firm has decided that your plan is too expensive, and they wish to reduce the sample size
required. You conduct a small preliminary sampłe, and you obtain a sample proportion of p = 0.2
Using this new information, what sample size should you gather in order to obtain a 0.035 margin of
error? Round your answer up to the nearest whole number.
households
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Transcribed Image Text:You work for a marketing firm that has a large client in the automobile industry. You have been asked to estimate the proportion of households in Chicago that have two or more vehicles. You have been assigned to gather a random sample that could be used to estimate this proportion to within a 0.035 margin of error ata 98% level of confidence. a) With no prior research, what sample size should you gather in order to obtain a 0.035 margin of error? Round your answer up to the nearest whole number. households b) Your firm has decided that your plan is too expensive, and they wish to reduce the sample size required. You conduct a small preliminary sampłe, and you obtain a sample proportion of p = 0.2 Using this new information, what sample size should you gather in order to obtain a 0.035 margin of error? Round your answer up to the nearest whole number. households Question Help: DVideo M Message Instructor Submit Question rellnlon Inn denneltnhntor 10 888 DII esc ES F7 FB F1 ! @ %23 24 1 3 7 8. Q W Y tab А S D F H s lock X C V N B N
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